Harmonic series: Difference between revisions
→{{header|Phix}}
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=={{header|Phix}}==
<!--<lang Phix>(notonline)-->
<span style="color: #7060A8;">requires</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"0.8.4"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">include</span> <span style="color: #7060A8;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">gn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #7060A8;">mpq</span> <span style="color: #000000;">hn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">mpq_init_set_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">gt</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"First twenty harmonic numbers as rationals:\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">gn</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">10</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">20</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%18s%s"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">mpq_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hn</span><span style="color: #0000FF;">),</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)?</span><span style="color: #008000;">" "</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">100</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nOne Hundredth:\n%s\n\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">mpq_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hn</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">mpq_cmp_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hn</span><span style="color: #0000FF;">,</span><span style="color: #000000;">gn</span><span style="color: #0000FF;">)></span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">gt</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">n</span>
<span style="color: #000000;">gn</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">n</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">mpq_add_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hn</span><span style="color: #0000FF;">,</span><span style="color: #000000;">hn</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"(one based) Index of first value:\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">gt</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" greater than %2d: %,6d (%s term)\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">gt</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #7060A8;">ordinal</span><span style="color: #0000FF;">(</span><span style="color: #000000;">gt</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</lang>-->
{{out}}
<pre>
First twenty harmonic numbers as rationals:
1 3/2 11/6 25/12 137/60
49/20 363/140 761/280 7129/2520 7381/2520
83711/27720 86021/27720 1145993/360360 1171733/360360 1195757/360360
2436559/720720 42142223/12252240 14274301/4084080 275295799/77597520 55835135/15519504
One Hundredth:
14466636279520351160221518043104131447711/2788815009188499086581352357412492142272
(one based) Index of first value:
greater than 1: 2 (second term)
greater than 2: 4 (fourth term)
greater than 3: 11 (eleventh term)
greater than 4: 31 (thirty-first term)
greater than 5: 83 (eighty-third term)
greater than 6: 227 (two hundred and twenty-seventh term)
greater than 7: 616 (six hundred and sixteenth term)
greater than 8: 1,674 (one thousand, six hundred and seventy-fourth term)
greater than 9: 4,550 (four thousand, five hundred and fiftieth term)
greater than 10: 12,367 (twelve thousand, three hundred and sixty-seventh term)
</pre>
=={{header|Raku}}==
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